COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM
This study is concerned with the derivation of differential equation of motion for the free coupled vertical – torsional and lateral vibration of opened thin-walled curved beams. The curved beam to be considered in this study is of isotropic opened thin – walled (I) section with equal top and botto...
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| Format: | Article |
| Language: | English |
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University of Baghdad
2010-06-01
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| Series: | Journal of Engineering |
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| Online Access: | https://joe.uobaghdad.edu.iq/index.php/main/article/view/2638 |
| _version_ | 1797301111617486848 |
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| author | Shatha Dhia Al Khazraji |
| author_facet | Shatha Dhia Al Khazraji |
| author_sort | Shatha Dhia Al Khazraji |
| collection | DOAJ |
| description |
This study is concerned with the derivation of differential equation of motion for the free coupled vertical – torsional and lateral vibration of opened thin-walled curved beams. The curved beam to be considered in this study is of isotropic opened thin – walled (I) section with equal top and bottom flanges. The derivation depends on Hamilton's principle which required finding the potential and kinetic energy of the curved beam section due to internal stresses and all types of movements (Vertical,Torsional and Lateral) .The effect of restrained warping displacement is also considered in this study. Three differential equations are derived for vertical, torsional and lateral movement .and approximate solutions are developed by using the method of multiple scale via a perturbation technique. The resulting natural frequencies and modes for vertical , torsional and lateral movements are compared with those calculated by using finite element approach ( STAAD Pro. 2007 ) and with the results other studies.
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| first_indexed | 2024-03-07T23:17:42Z |
| format | Article |
| id | doaj.art-292b391da6484b458b9c017aa8b36f86 |
| institution | Directory Open Access Journal |
| issn | 1726-4073 2520-3339 |
| language | English |
| last_indexed | 2024-03-07T23:17:42Z |
| publishDate | 2010-06-01 |
| publisher | University of Baghdad |
| record_format | Article |
| series | Journal of Engineering |
| spelling | doaj.art-292b391da6484b458b9c017aa8b36f862024-02-21T09:48:45ZengUniversity of BaghdadJournal of Engineering1726-40732520-33392010-06-01160210.31026/j.eng.2010.02.36COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAMShatha Dhia Al Khazraji This study is concerned with the derivation of differential equation of motion for the free coupled vertical – torsional and lateral vibration of opened thin-walled curved beams. The curved beam to be considered in this study is of isotropic opened thin – walled (I) section with equal top and bottom flanges. The derivation depends on Hamilton's principle which required finding the potential and kinetic energy of the curved beam section due to internal stresses and all types of movements (Vertical,Torsional and Lateral) .The effect of restrained warping displacement is also considered in this study. Three differential equations are derived for vertical, torsional and lateral movement .and approximate solutions are developed by using the method of multiple scale via a perturbation technique. The resulting natural frequencies and modes for vertical , torsional and lateral movements are compared with those calculated by using finite element approach ( STAAD Pro. 2007 ) and with the results other studies. https://joe.uobaghdad.edu.iq/index.php/main/article/view/2638Thin-walled curved beams, Free vibration, Differential Equation of Motion |
| spellingShingle | Shatha Dhia Al Khazraji COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM Journal of Engineering Thin-walled curved beams, Free vibration, Differential Equation of Motion |
| title | COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM |
| title_full | COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM |
| title_fullStr | COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM |
| title_full_unstemmed | COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM |
| title_short | COUPLED VERTICAL – TORSIONAL AND LATERAL FREE VIBRATION OF THIN-WALLED CURVED BEAM |
| title_sort | coupled vertical torsional and lateral free vibration of thin walled curved beam |
| topic | Thin-walled curved beams, Free vibration, Differential Equation of Motion |
| url | https://joe.uobaghdad.edu.iq/index.php/main/article/view/2638 |
| work_keys_str_mv | AT shathadhiaalkhazraji coupledverticaltorsionalandlateralfreevibrationofthinwalledcurvedbeam |